How do you implement the bottom sheet specficiation? http://www.google.com/design/spec/components/bottom-sheets.html
The new update to Google Drive shows this with
I would go with a straight corners as it is in the guidelines. As for the implementation - maybe it is best to use the idea from this project: https://github.com/umano/AndroidSlidingUpPanel
I think that you could use it as it is or take the idea for the implementation. Another great article on how to implement similar sliding panel can be found here: http://blog.neteril.org/blog/2013/10/10/framelayout-your-best-ui-friend/